Question
If $$\sqrt x \div \sqrt {441} = 0.02{\text{,}}$$ then the value of x is ?
Answer: Option A
$$\eqalign{
& \Leftrightarrow \frac{{\sqrt x }}{{\sqrt {441} }} = 0.02 \cr
& \Leftrightarrow \frac{{\sqrt x }}{{21}} = 0.02 \cr
& \Leftrightarrow \sqrt x = 0.02 \times 21 \cr
& \Leftrightarrow \sqrt x = 0.42 \cr
& \Leftrightarrow x = {\left( {0.42} \right)^2} \cr
& \Leftrightarrow x = 0.1764{\text{ }} \cr} $$
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$$\eqalign{
& \Leftrightarrow \frac{{\sqrt x }}{{\sqrt {441} }} = 0.02 \cr
& \Leftrightarrow \frac{{\sqrt x }}{{21}} = 0.02 \cr
& \Leftrightarrow \sqrt x = 0.02 \times 21 \cr
& \Leftrightarrow \sqrt x = 0.42 \cr
& \Leftrightarrow x = {\left( {0.42} \right)^2} \cr
& \Leftrightarrow x = 0.1764{\text{ }} \cr} $$
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